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What is the Least Common Multiple of 7839 and 7851?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7839 and 7851 is 20514663.

LCM(7839,7851) = 20514663

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Least Common Multiple of 7839 and 7851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7839 and 7851, than apply into the LCM equation.

GCF(7839,7851) = 3
LCM(7839,7851) = ( 7839 × 7851) / 3
LCM(7839,7851) = 61543989 / 3
LCM(7839,7851) = 20514663

Least Common Multiple (LCM) of 7839 and 7851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7839 and 7851. First we will calculate the prime factors of 7839 and 7851.

Prime Factorization of 7839

Prime factors of 7839 are 3, 13, 67. Prime factorization of 7839 in exponential form is:

7839 = 32 × 131 × 671

Prime Factorization of 7851

Prime factors of 7851 are 3, 2617. Prime factorization of 7851 in exponential form is:

7851 = 31 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 7839 and 7851.

LCM(7839,7851) = 32 × 131 × 671 × 26171
LCM(7839,7851) = 20514663